Beyond the Fermi liquid paradigm: Hidden Fermi liquids

Beyond the Fermi liquid paradigm: hidden Fermi liquids.

An intense investigation of possible non-Fermi liquid states of matter has been inspired by two of the most intriguing phenomena discovered in the past quarter century, namely, high-temperature superconductivity and the fractional quantum Hall effect. Despite enormous conceptual strides, these two fields have developed largely along separate paths. Two widely employed theories are the resonatin...

CCMS Summer 2007 Lecture Series Fermi- and non-Fermi Liquids Lecture 3: Fermi-liquid Theory

Fermi Liquids and Luttinger Liquids

Bosonization of Fermi Liquids

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from the Landau Fermi liquid (LFL) renormalization group fixed point. We are especially interested in understanding under what circumstances such a system is a Ma...

Bosonization of Fermi liquids.

We bosonize a Fermi liquid in any number of dimensions in the limit of long wavelengths. From the bosons we construct a set of coherent states which are related with the displacement of the Fermi surface due to particle-hole excitations. We show that an interacting hamiltonian in terms of the original fermions is quadratic in the bosons. We obtain a path integral representation for the generati...